Question -
Answer -
Foci
, passing through (2, 3)
Here, the foci are on the y-axis.
Therefore, the equation ofthe hyperbola is of the form
.
Since the foci are, c =
.
We know that a2 + b2 = c2.
∴ a2 + b2 = 10
⇒ b2 = 10 – a2 … (1)
Since the hyperbola passesthrough point (2, 3),
From equations (1) and(2), we obtain
In hyperbola, c > a,i.e., c2 > a2
∴ a2 = 5
⇒ b2 = 10 – a2 = 10 – 5 = 5
Thus,the equation of the hyperbola is
.